Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:root
|
| gptkbp:appearsIn |
gptkb:exceptional_Lie_groups
|
| gptkbp:automorphismGroup |
gptkb:dihedral_group_of_order_12
|
| gptkbp:Cartan_matrix |
[[2, -3], [-1, 2]]
|
| gptkbp:Coxeter_number |
6
|
| gptkbp:dual_Coxeter_number |
4
|
| gptkbp:Dynkin_diagram |
two nodes connected by a triple bond with an arrow
|
| gptkbp:foundIn |
classification of simple Lie algebras
|
| gptkbp:has_crystallographic_root_system |
yes
|
| https://www.w3.org/2000/01/rdf-schema#label |
root system G 2
|
| gptkbp:Lie_algebra |
gptkb:Lie_algebra_of_type_G_2
|
| gptkbp:long_roots |
6
|
| gptkbp:number_of_positive_roots |
6
|
| gptkbp:number_of_roots |
12
|
| gptkbp:number_of_simple_roots |
2
|
| gptkbp:rank |
2
|
| gptkbp:related_to_octonions |
yes
|
| gptkbp:short_roots |
6
|
| gptkbp:symmetry |
gptkb:dihedral_group_D_6
|
| gptkbp:type |
exceptional
|
| gptkbp:Weyl_group |
12
|
| gptkbp:bfsParent |
gptkb:G_2(q)
|
| gptkbp:bfsLayer |
7
|